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3 years ago

If the measure of the angles of a traingle are represented by 2x, 3x-15, and 7x+15, the traingle is

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

X=15degrees
The angle measurements are 30, 30, and 120 so it is an isosceles

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Find the explicit formula for the general nth term of the arithmetic sequence described below. Simplify your answer.

Alexandra [31]

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Explanation:</h2>

The explicit formula for the general nth term of the arithmetic sequence is given by:

$a_{n}=a_{1}+d(n-1) \\ \\ \\ Where: \\ \\ a_{n}:nth \ term \\ \\ n:Number \ of \ terms \\ \\ a_{1}:First \ term \\ \\ d:common \ difference$

Here we know that:

$a_{1}=-3 \\ \\ a_{10}=69$

So, our goal is to find the common difference substituting into the formula:

$a_{10}=a_{1}+d(10-1) \\ \\ 69=-3+d(9) \\ \\ Solving \ for \ d: \\ \\ 9d=69+3 \\ \\ 9d=72 \\ \\ d=8$

Finally, we can write the explicit formula as:

$\boxed{a_{n}=-3+8(n-1)}$

<h2>Learn more:</h2>

Geometric series: brainly.com/question/1509142

#LearnWithBrainly

8 0

3 years ago

If the diameter of a circle is 9 cm, then its circumference is 56.52 cm.<br> True or False

Georgia [21]

Answer: true

Step-by-step explanation: first you divide its circumference by pi, which you then get 17.990. Round it to 18. Then use the diameter (18) and divide it by 2. You get 9.

6 0

3 years ago

Convert from Decimal Notation to Scientific Notation

DIA [1.3K]

Answer:

Hence, 0.00000103 can be expressed as $1.03 \times 10^{-6}$ .

Step-by-step explanation:

- Given 0.00000103

- Move the decimal point so that the factor is greater than or equal to 1 but less than 10 .

- Then count n and write no. as a product with a power of 10 .

Step 1 of 1

Consider 0.00000103,

1.03

Decimal has moved 6 places to right.

The power will be negative as the original no. is less than 1 .

$\begin{array}{r}1.03 \times 10^{-6} \\0.00000103=1.03 \times 10^{-6}\end{array}$

5 0

2 years ago

Which point is 7 units from (10, 6) on a coordinate plane?

jeyben [28]

We can Add/Subtract 7 to the x-value or y-value of the point.

(10, 6)

(10 - 7, 6)

(3, 6)

(10 + 7, 6)

(17, 6)

(10, 6 - 7)

(10, -1)

(10, 6 + 7)

(10, 13)

The only point in the options is (3, 6).

7 0

3 years ago

How does factoring help solve quadratic equations?

n200080 [17]

Answer:

o solve an quadratic equation using factoring : 1 . Transform the equation using standard form in which one side is zero. ... Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero).

Step-by-step explanation:

5 0

3 years ago